Question

If tan 2A = cot (A -18°), where 2A is an acute angle, find the value of A.​

Answer 1

answer will be -24

A=-24

Answer 2

A = 36

Explanation:

Using the cofunction identity

tan(90 - x) = cotx

Given

tan2A = cot(A - 18) , then

90 - 2A = A - 18 ( add 2A to both sides )

90 = 3A - 18 ( add 18 to both sides )

108 = 3A ( divide both sides by 3 )

36 = A